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基于随机服务理论的增长网络度分布计算

Study on degree distribution of growth network based on the theory of random service
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摘要 借鉴随机服务系统处理顾客输入过程的思想,用随机过程刻画增长网络的节点到达过程.给出了一般的随机增长网络模型,并运用随机过程理论解析分析了其稳态度分布,得出相应的无标度网络要呈现富者愈富现象需满足的条件.为解析分析增长网络的度分布提出了一种计算方法,此法避免了假设节点均匀分布进入网络所产生的缺陷. Basing on the thought of the customer input process in random service system,the random process was brought in to describe the nodes incoming process in growth networks.A general random growth network was introduced and its stationary degree distribution was analysed by using the theory of random process.The conditions which contribute to the rich-get-richer phenomenon in corresponding scale-free network were presented.By virtue of the general conclusion of degree distribution obtained above,the degree dist...
出处 《上海理工大学学报》 CAS 北大核心 2009年第5期427-430,共4页 Journal of University of Shanghai For Science and Technology
基金 国家自然科学基金资助项目(70871082) 上海市重点学科建设资助项目(T0502S30504)
关键词 复杂网络 随机增长 POISSON过程 度分布 complex networks random growth Poisson process degree disribution
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参考文献10

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